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Finding the Fourth Proportional to 667.76, 1,001.86 and 211.76

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Solution

The fourth proportional to 667.76, 1,001.86 and 211.76 is: 317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.76 : 1,001.86 = 211.76 : x
  2. Step 2: Convert to fraction form
    667.76/1,001.86 = 211.76/x
  3. Step 3: Cross multiply
    667.76x = 1,001.86 × 211.76
  4. Step 4: Simplify right side
    667.76x = 212,153.87
  5. Step 5: Solve for x
    x = 212,153.87/667.76
  6. Step 6: Final answer
    x = 317.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.